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Finding the Fourth Proportional to 207.94, 285.44 and 189.42

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Solution

The fourth proportional to 207.94, 285.44 and 189.42 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 285.44 = 189.42 : x
  2. Step 2: Convert to fraction form
    207.94/285.44 = 189.42/x
  3. Step 3: Cross multiply
    207.94x = 285.44 × 189.42
  4. Step 4: Simplify right side
    207.94x = 54,068.04
  5. Step 5: Solve for x
    x = 54,068.04/207.94
  6. Step 6: Final answer
    x = 260.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.